Apple HDMI adapter works with iPad great, but lightening HDMI adapter doesn’t work with iPhone.

There are several potential reasons why your Apple HDMI to Lightning adapter is resulting in a black screen on your TV when connecting it to your iPhone 13. Here are some troubleshooting steps to help you identify and resolve the issue:

1. Ensure that the HDMI cable you are using is working correctly and firmly connected to both the HDMI port on your TV and the Apple HDMI to Lightning adapter. Also, verify that your TV is set to the correct HDMI input source where you have connected the adapter. Try Lightning Digital AV Adapter
2. Check the Apple HDMI to Lightning adapter for any visible damage or debris that might be obstructing the connection. Also, examine the Lightning port on your iPhone 13 for any dust, lint, or debris that could be preventing a proper connection. If necessary, gently clean the port using a soft brush or compressed air.
3. Attempt to connect the adapter to a different HDMI port on your TV or try using the adapter with another TV. This will help determine if the issue is with the adapter, the TV, or the specific HDMI port.
4. Ensure that the HDMI to Lightning adapter you are using is compatible with the iPhone 13. Sometimes, older adapters may not work with newer iPhone models. Identify counterfeit or uncertified Lightning connector ...
5. Some apps and content, especially those with DRM (Digital Rights Management) protection, may not be allowed to be mirrored to an external display via HDMI. Make sure you are attempting to display content that supports external output.
6. Sometimes, a simple restart can resolve temporary software glitches. Turn off your iPhone, wait for a few seconds, and then turn it back on.
   1. Restart the device. That's it.
   2. Still not solved --> Force restart iPhone - Apple Support
7. If the issue persists, you can try resetting all settings on your iPhone. This will not erase your data but will reset all personalized settings to their default values. Go to Settings > General > Transfer & Reset > Reset > Reset All Settings and confirm the action. Note that you will need to reconfigure your settings afterward. All settings—including network settings, the keyboard dictionary, the Home screen layout, location settings, privacy settings, and Apple Pay cards—are removed or reset to their defaults. No data or media are deleted.
   1. Reset All Settings: Return iPhone settings to their defaults - Apple Support:- Return iPhone settings to their defaults
   2. You can return settings to their defaults without erasing your content.
   3. If you want to save your settings, back up your iPhone before returning them to their defaults. For example, if you’re trying to solve a problem but returning settings to their defaults doesn’t help, you might want to restore your previous settings from a backup.
8. Make sure you have the latest updates installed.
   1. Update Over-the-Air (OTA) —> Update your iPhone or iPad - Apple Support (IN)
   2. Update using iTunes/Finder —> Update your iPhone, iPad, or iPod touch - Apple Support (IN)

If none of the above steps resolve the issue, it is recommended to reach out to Apple Support or visit an authorized service center for further assistance. They can provide specific guidance based on your device model and iOS version.